POINT LOADS ON A HEMISPHERICAL ELASTIC MEMBRANE

被引：33
作者：
LI, X
STEIGMANN, DJ
机构：
[1] Department of Mechanical Engineering, University of Alberta, Edmonton
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1995年 / 30卷 / 04期
关键词：
D O I：
10.1016/0020-7462(95)00019-K
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We analyze axisymmetric equilibrium deformations of a pressurized, hemispherical, isotropic elastic membrane subjected to a concentrated force at its pole. Wrinkling of the membrane is taken into account by using a relaxed energy derived from Ogden's three-term strain energy function. The special features of the theory in wrinkled regions of the membrane are used to reduce the analysis to quadratures. Existence of solutions requires that the uniaxial stress-stretch relation satisfy a certain growth condition for large stretches.
引用
收藏
页码：569 / 581
页数：13
相关论文
共 21 条
[11]   THE TRANSITION ZONE NEAR WRINKLES IN PULLED SPHERICAL MEMBRANES [J].
LIBAI, A .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1990, 26 (08) :927-939
[12]  
Naghdi P.M., 1973, LINEAR THEORIES ELAS, P425, DOI DOI 10.1007/978-3-662-39776-3_5
[13]  
OGDEN RW, 1984, NONLINEAR ELASTIC DE
[14]   THE RELAXED ENERGY DENSITY FOR ISOTROPIC ELASTIC MEMBRANES [J].
PIPKIN, AC .
IMA JOURNAL OF APPLIED MATHEMATICS, 1986, 36 (01) :85-99
[15]   EQUILIBRIUM OF PRESTRESSED NETWORKS [J].
STEIGMANN, DJ .
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 48 (02) :195-215
[16]   A NOTE ON PRESSURE POTENTIALS [J].
STEIGMANN, DJ .
JOURNAL OF ELASTICITY, 1991, 26 (01) :87-93
[17]   TENSION-FIELD THEORY [J].
STEIGMANN, DJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 429 (1876) :141-173
[18]   FINITE DEFORMATION AND STABILITY BEHAVIOR OF SPHERICAL INFLATABLES UNDER AXISYMMETRIC CONCENTRATED LOADS [J].
SZYSZKOWSKI, W ;
GLOCKNER, PG .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1984, 19 (05) :489-496
[19]  
TRUESDELL CA, 1965, HDB PHYSIK, V3
[20]   WRINKLED AXISYMMETRIC AIR BAGS MADE OF INEXTENSIBLE MEMBRANE [J].
WU, CH .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1974, 41 (04) :963-968
123